23.26/5.96 YES 23.26/5.96 property Termination 23.26/5.96 has value True 23.26/5.96 for SRS ( [a] -> [], [a, a] -> [a, b, c], [b] -> [], [c, b] -> [b, a, c]) 23.26/5.96 reason 23.26/5.96 remap for 4 rules 23.26/5.96 property Termination 23.26/5.96 has value True 23.26/5.96 for SRS ( [0] -> [], [0, 0] -> [0, 1, 2], [1] -> [], [2, 1] -> [1, 0, 2]) 23.26/5.96 reason 23.26/5.96 DP transform 23.26/5.96 property Termination 23.26/5.96 has value True 23.26/5.96 for SRS ( [0] ->= [], [0, 0] ->= [0, 1, 2], [1] ->= [], [2, 1] ->= [1, 0, 2], [0#, 0] |-> [0#, 1, 2], [0#, 0] |-> [1#, 2], [0#, 0] |-> [2#], [2#, 1] |-> [1#, 0, 2], [2#, 1] |-> [0#, 2], [2#, 1] |-> [2#]) 23.26/5.96 reason 23.26/5.96 remap for 10 rules 23.26/5.96 property Termination 23.26/5.96 has value True 23.26/5.96 for SRS ( [0] ->= [], [0, 0] ->= [0, 1, 2], [1] ->= [], [2, 1] ->= [1, 0, 2], [3, 0] |-> [3, 1, 2], [3, 0] |-> [4, 2], [3, 0] |-> [5], [5, 1] |-> [4, 0, 2], [5, 1] |-> [3, 2], [5, 1] |-> [5]) 23.26/5.96 reason 23.26/5.96 weights 23.26/5.96 Map [(3, 1/2), (5, 1/2)] 23.26/5.96 23.26/5.96 property Termination 23.26/5.96 has value True 23.26/5.96 for SRS ( [0] ->= [], [0, 0] ->= [0, 1, 2], [1] ->= [], [2, 1] ->= [1, 0, 2], [3, 0] |-> [3, 1, 2], [3, 0] |-> [5], [5, 1] |-> [3, 2], [5, 1] |-> [5]) 23.26/5.96 reason 23.26/5.96 EDG has 1 SCCs 23.26/5.96 property Termination 23.26/5.96 has value True 23.26/5.96 for SRS ( [3, 0] |-> [3, 1, 2], [3, 0] |-> [5], [5, 1] |-> [5], [5, 1] |-> [3, 2], [0] ->= [], [0, 0] ->= [0, 1, 2], [1] ->= [], [2, 1] ->= [1, 0, 2]) 23.26/5.96 reason 23.26/5.97 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 23.26/5.97 interpretation 23.26/5.98 0 / 0A 2A \ 23.57/5.98 \ 0A 2A / 23.57/5.98 1 / 2A 2A \ 23.57/5.98 \ 0A 0A / 23.57/5.98 2 / 0A 0A \ 23.57/5.98 \ -2A -2A / 23.57/5.98 3 / 24A 26A \ 23.57/5.98 \ 24A 26A / 23.57/5.98 5 / 26A 28A \ 23.57/5.98 \ 26A 28A / 23.57/5.98 [3, 0] |-> [3, 1, 2] 23.57/5.98 lhs rhs ge gt 23.57/5.98 / 26A 28A \ / 26A 26A \ True False 23.57/5.98 \ 26A 28A / \ 26A 26A / 23.57/5.98 [3, 0] |-> [5] 23.57/5.98 lhs rhs ge gt 23.57/5.98 / 26A 28A \ / 26A 28A \ True False 23.57/5.98 \ 26A 28A / \ 26A 28A / 23.57/5.98 [5, 1] |-> [5] 23.57/5.98 lhs rhs ge gt 23.57/5.98 / 28A 28A \ / 26A 28A \ True False 23.57/5.98 \ 28A 28A / \ 26A 28A / 23.57/5.98 [5, 1] |-> [3, 2] 23.57/5.98 lhs rhs ge gt 23.57/5.98 / 28A 28A \ / 24A 24A \ True True 23.57/5.98 \ 28A 28A / \ 24A 24A / 23.57/5.98 [0] ->= [] 23.57/5.98 lhs rhs ge gt 23.57/5.98 / 0A 2A \ / 0A - \ True False 23.57/5.98 \ 0A 2A / \ - 0A / 23.57/5.98 [0, 0] ->= [0, 1, 2] 23.57/5.98 lhs rhs ge gt 23.57/5.98 / 2A 4A \ / 2A 2A \ True False 23.57/5.98 \ 2A 4A / \ 2A 2A / 23.57/5.98 [1] ->= [] 23.57/5.98 lhs rhs ge gt 23.57/5.98 / 2A 2A \ / 0A - \ True False 23.57/5.98 \ 0A 0A / \ - 0A / 23.57/5.98 [2, 1] ->= [1, 0, 2] 23.57/5.98 lhs rhs ge gt 23.57/5.98 / 2A 2A \ / 2A 2A \ True False 23.57/5.98 \ 0A 0A / \ 0A 0A / 23.57/5.98 property Termination 23.57/5.98 has value True 23.57/5.99 for SRS ( [3, 0] |-> [3, 1, 2], [3, 0] |-> [5], [5, 1] |-> [5], [0] ->= [], [0, 0] ->= [0, 1, 2], [1] ->= [], [2, 1] ->= [1, 0, 2]) 23.57/6.00 reason 23.57/6.00 weights 23.64/6.00 Map [(3, 1/1)] 23.64/6.00 23.64/6.00 property Termination 23.64/6.00 has value True 23.64/6.00 for SRS ( [3, 0] |-> [3, 1, 2], [5, 1] |-> [5], [0] ->= [], [0, 0] ->= [0, 1, 2], [1] ->= [], [2, 1] ->= [1, 0, 2]) 23.64/6.00 reason 23.64/6.00 EDG has 2 SCCs 23.64/6.00 property Termination 23.64/6.00 has value True 23.64/6.01 for SRS ( [3, 0] |-> [3, 1, 2], [0] ->= [], [0, 0] ->= [0, 1, 2], [1] ->= [], [2, 1] ->= [1, 0, 2]) 23.64/6.01 reason 23.64/6.01 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 23.64/6.01 interpretation 23.64/6.01 0 Wk / 0A 0A 1A 0A \ 23.64/6.01 | - 0A 0A - | 23.64/6.01 | 2A 3A 3A 4A | 23.64/6.01 \ - - - 0A / 23.64/6.01 1 Wk / 2A 4A 0A - \ 23.64/6.01 | 2A 3A 0A 4A | 23.64/6.01 | - - 0A 0A | 23.64/6.01 \ - - - 0A / 23.71/6.02 2 Wk / 0A 0A - 1A \ 23.71/6.02 | - 0A - - | 23.71/6.02 | - 0A - 0A | 23.71/6.02 \ - - - 0A / 23.71/6.02 3 Wk / - - 1A 4A \ 23.71/6.02 | - - - - | 23.71/6.02 | - - - - | 23.71/6.02 \ - - - 0A / 23.71/6.02 [3, 0] |-> [3, 1, 2] 23.71/6.03 lhs rhs ge gt 23.71/6.03 Wk / 3A 4A 4A 5A \ Wk / - 1A - 4A \ True True 23.71/6.03 | - - - - | | - - - - | 23.71/6.03 | - - - - | | - - - - | 23.71/6.03 \ - - - 0A / \ - - - 0A / 23.71/6.03 [0] ->= [] 23.71/6.03 lhs rhs ge gt 23.71/6.03 Wk / 0A 0A 1A 0A \ Wk / 0A - - - \ True False 23.71/6.03 | - 0A 0A - | | - 0A - - | 23.71/6.03 | 2A 3A 3A 4A | | - - 0A - | 23.71/6.03 \ - - - 0A / \ - - - 0A / 23.71/6.03 [0, 0] ->= [0, 1, 2] 23.71/6.04 lhs rhs ge gt 23.71/6.04 Wk / 3A 4A 4A 5A \ Wk / 2A 4A - 4A \ True False 23.71/6.04 | 2A 3A 3A 4A | | 2A 3A - 4A | 23.71/6.04 | 5A 6A 6A 7A | | 5A 6A - 7A | 23.71/6.04 \ - - - 0A / \ - - - 0A / 23.71/6.04 [1] ->= [] 23.71/6.05 lhs rhs ge gt 23.71/6.05 Wk / 2A 4A 0A - \ Wk / 0A - - - \ True False 23.71/6.05 | 2A 3A 0A 4A | | - 0A - - | 23.71/6.05 | - - 0A 0A | | - - 0A - | 23.71/6.05 \ - - - 0A / \ - - - 0A / 23.71/6.05 [2, 1] ->= [1, 0, 2] 23.71/6.05 lhs rhs ge gt 23.71/6.05 Wk / 2A 4A 0A 4A \ Wk / 2A 4A - 4A \ True False 23.71/6.05 | 2A 3A 0A 4A | | 2A 3A - 4A | 23.71/6.05 | 2A 3A 0A 4A | | 2A 3A - 4A | 23.71/6.05 \ - - - 0A / \ - - - 0A / 23.71/6.05 property Termination 23.71/6.05 has value True 23.71/6.05 for SRS ( [0] ->= [], [0, 0] ->= [0, 1, 2], [1] ->= [], [2, 1] ->= [1, 0, 2]) 23.71/6.05 reason 23.71/6.05 EDG has 0 SCCs 23.71/6.05 23.71/6.05 property Termination 23.71/6.05 has value True 23.71/6.05 for SRS ( [5, 1] |-> [5], [0] ->= [], [0, 0] ->= [0, 1, 2], [1] ->= [], [2, 1] ->= [1, 0, 2]) 23.71/6.05 reason 23.71/6.05 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 23.71/6.05 interpretation 23.71/6.05 0 / 0A 2A \ 23.71/6.05 \ 0A 2A / 23.71/6.05 1 / 2A 2A \ 23.71/6.05 \ 0A 0A / 23.71/6.05 2 / 0A 0A \ 23.71/6.05 \ -2A -2A / 23.71/6.05 5 / 24A 24A \ 23.71/6.05 \ 24A 24A / 23.71/6.05 [5, 1] |-> [5] 23.71/6.05 lhs rhs ge gt 23.71/6.05 / 26A 26A \ / 24A 24A \ True True 23.71/6.05 \ 26A 26A / \ 24A 24A / 23.71/6.05 [0] ->= [] 23.71/6.05 lhs rhs ge gt 23.71/6.05 / 0A 2A \ / 0A - \ True False 23.71/6.05 \ 0A 2A / \ - 0A / 23.71/6.05 [0, 0] ->= [0, 1, 2] 23.71/6.05 lhs rhs ge gt 23.71/6.05 / 2A 4A \ / 2A 2A \ True False 23.71/6.05 \ 2A 4A / \ 2A 2A / 23.71/6.05 [1] ->= [] 23.71/6.05 lhs rhs ge gt 23.71/6.05 / 2A 2A \ / 0A - \ True False 23.71/6.05 \ 0A 0A / \ - 0A / 23.71/6.05 [2, 1] ->= [1, 0, 2] 23.71/6.05 lhs rhs ge gt 23.71/6.05 / 2A 2A \ / 2A 2A \ True False 23.71/6.05 \ 0A 0A / \ 0A 0A / 23.71/6.05 property Termination 23.71/6.05 has value True 23.71/6.05 for SRS ( [0] ->= [], [0, 0] ->= [0, 1, 2], [1] ->= [], [2, 1] ->= [1, 0, 2]) 23.71/6.05 reason 23.71/6.05 EDG has 0 SCCs 23.71/6.05 23.71/6.05 ************************************************** 23.71/6.05 summary 23.71/6.05 ************************************************** 23.71/6.05 SRS with 4 rules on 3 letters Remap { tracing = False} 23.71/6.05 SRS with 4 rules on 3 letters DP transform 23.71/6.05 SRS with 10 rules on 6 letters Remap { tracing = False} 23.71/6.05 SRS with 10 rules on 6 letters weights 23.71/6.05 SRS with 8 rules on 5 letters EDG 23.71/6.05 SRS with 8 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 23.71/6.05 SRS with 7 rules on 5 letters weights 23.71/6.05 SRS with 6 rules on 5 letters EDG 23.71/6.05 2 sub-proofs 23.71/6.05 1 SRS with 5 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 23.71/6.05 SRS with 4 rules on 3 letters EDG 23.71/6.05 23.71/6.05 2 SRS with 5 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 23.71/6.05 SRS with 4 rules on 3 letters EDG 23.71/6.05 23.71/6.05 ************************************************** 24.09/6.12 (4, 3)\Deepee(10, 6)\Weight(8, 5)\Matrix{\Arctic}{2}(7, 5)\Weight(6, 5)\EDG[(5, 4)\Matrix{\Arctic}{4}(4, 3)\EDG[],(5, 4)\Matrix{\Arctic}{2}(4, 3)\EDG[]] 24.09/6.12 ************************************************** 24.40/6.22 let { done = Worker No_Strict_Rules;mo = Pre (Or_Else Count (IfSizeLeq 10000 GLPK Fail));wop = Or_Else (Worker (Weight { modus = mo})) Pass;weighted = \ m -> And_Then m wop;tiling = \ m w -> weighted (And_Then (Worker (Tiling { method = m,width = w})) (Worker Remap));when_small = \ m -> And_Then (Worker (SizeAtmost 100)) m;when_medium = \ m -> And_Then (Worker (SizeAtmost 10000)) m;solver = Minisatapi;qpi = \ dim bits -> weighted (when_small (Worker (QPI { tracing = True,dim = dim,bits = bits,solver = solver})));matrix = \ dom dim bits -> weighted (when_small (Worker (Matrix { monotone = Weak,domain = dom,dim = dim,bits = bits,tracing = False,solver = solver})));kbo = \ b -> weighted (when_small (Worker (KBO { bits = b,solver = solver})));mb = Worker (Matchbound { method = RFC,max_size = 100000});remove = First_Of ([ Worker (Weight { modus = mo})] <> ([ Seq [ qpi 2 4, qpi 3 4, qpi 4 4], Seq [ qpi 5 4, qpi 6 3, qpi 7 3]] <> ([ matrix Arctic 4 3, matrix Natural 4 3] <> [ kbo 1, And_Then (Worker Mirror) (kbo 1)])));remove_tile = Seq [ remove, tiling Overlap 3];dp = As_Transformer (Apply (And_Then (Worker (DP { tracing = False})) (Worker Remap)) (Apply wop (Branch (Worker (EDG { tracing = False})) remove_tile)));noh = [ Timeout 10 (Worker (Enumerate { closure = Forward})), Timeout 10 (Worker (Enumerate { closure = Backward}))];yeah = Tree_Search_Preemptive 0 done [ Worker (Weight { modus = mo}), mb, And_Then (Worker Mirror) mb, dp, And_Then (Worker Mirror) dp]} 24.40/6.23 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 24.68/6.30 EOF